A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation

This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epidemic model. The model takes into account that the recovered individuals lose the disease imm...

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Autores: Alonso-Quesada, Santiago|||0000-0002-4724-7583, De la Sen, Manuel|||0000-0001-9320-9433, Ibeas, Asier|||0000-0001-5094-3152, Nistal, Raul|||0000-0003-2196-1989
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:204637
Acceso en línea:https://ddd.uab.cat/record/204637
https://dx.doi.org/urn:doi:10.1186/1687-1847-2013-364
Access Level:acceso abierto
Palabra clave:SIRS epidemic models
Vaccination
Nonlinear control
Stability
Positivity
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spelling A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagationAlonso-Quesada, Santiago|||0000-0002-4724-7583De la Sen, Manuel|||0000-0001-9320-9433Ibeas, Asier|||0000-0001-5094-3152Nistal, Raul|||0000-0003-2196-1989SIRS epidemic modelsVaccinationNonlinear controlStabilityPositivityThis paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epidemic model. The model takes into account that the recovered individuals lose the disease immunity after a finite time period. A control technique based on a model linearization approach is used to design the vaccination strategy in order to eradicate the infection from the population. Moreover, the controlled system is guaranteed to be positive and stable under such a vaccination control strategy. A simulation example illustrates the theoretical results relative to the stability and positivity of the controlled system while guaranteeing the eradication of the epidemics. 22013-01-0120132013-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/204637https://dx.doi.org/urn:doi:10.1186/1687-1847-2013-364reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 DPI2009-07197open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2046372026-06-06T12:50:31Z
dc.title.none.fl_str_mv A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
title A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
spellingShingle A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
Alonso-Quesada, Santiago|||0000-0002-4724-7583
SIRS epidemic models
Vaccination
Nonlinear control
Stability
Positivity
title_short A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
title_full A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
title_fullStr A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
title_full_unstemmed A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
title_sort A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation
dc.creator.none.fl_str_mv Alonso-Quesada, Santiago|||0000-0002-4724-7583
De la Sen, Manuel|||0000-0001-9320-9433
Ibeas, Asier|||0000-0001-5094-3152
Nistal, Raul|||0000-0003-2196-1989
author Alonso-Quesada, Santiago|||0000-0002-4724-7583
author_facet Alonso-Quesada, Santiago|||0000-0002-4724-7583
De la Sen, Manuel|||0000-0001-9320-9433
Ibeas, Asier|||0000-0001-5094-3152
Nistal, Raul|||0000-0003-2196-1989
author_role author
author2 De la Sen, Manuel|||0000-0001-9320-9433
Ibeas, Asier|||0000-0001-5094-3152
Nistal, Raul|||0000-0003-2196-1989
author2_role author
author
author
dc.subject.none.fl_str_mv SIRS epidemic models
Vaccination
Nonlinear control
Stability
Positivity
topic SIRS epidemic models
Vaccination
Nonlinear control
Stability
Positivity
description This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by a SIRS (susceptible plus infected plus recovered populations) epidemic model. The model takes into account that the recovered individuals lose the disease immunity after a finite time period. A control technique based on a model linearization approach is used to design the vaccination strategy in order to eradicate the infection from the population. Moreover, the controlled system is guaranteed to be positive and stable under such a vaccination control strategy. A simulation example illustrates the theoretical results relative to the stability and positivity of the controlled system while guaranteeing the eradication of the epidemics.
publishDate 2013
dc.date.none.fl_str_mv 2
2013-01-01
2013
2013-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/204637
https://dx.doi.org/urn:doi:10.1186/1687-1847-2013-364
url https://ddd.uab.cat/record/204637
https://dx.doi.org/urn:doi:10.1186/1687-1847-2013-364
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651
Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 DPI2009-07197
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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